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Finding the Fourth Proportional to 329,791,996.80, 494,687,995.20 and 209,158,243.20

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Solution

The fourth proportional to 329,791,996.80, 494,687,995.20 and 209,158,243.20 is: 313,737,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,791,996.80 : 494,687,995.20 = 209,158,243.20 : x
  2. Step 2: Convert to fraction form
    329,791,996.80/494,687,995.20 = 209,158,243.20/x
  3. Step 3: Cross multiply
    329,791,996.80x = 494,687,995.20 × 209,158,243.20
  4. Step 4: Simplify right side
    329,791,996.80x = 103,468,072,008,162,032
  5. Step 5: Solve for x
    x = 103,468,072,008,162,032/329,791,996.80
  6. Step 6: Final answer
    x = 313,737,364.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.